The first Hochschild (co)homology when adding arrows to a bound quiver algebra
K-Theory and Homology
2019-08-15 v2 Representation Theory
Abstract
We provide a formula for the change of the dimension of the first Hoch\-schild cohomology vector space of bound quiver algebras when adding new arrows. For this purpose we show that there exists a short exact sequence which relates the first cohomology vector spaces of the algebras to the first relative cohomology. Moreover, we show that the first Hochschild homologies are isomorphic when adding new arrows.
Keywords
Cite
@article{arxiv.1904.03565,
title = {The first Hochschild (co)homology when adding arrows to a bound quiver algebra},
author = {Claude Cibils and Marcelo Lanzilotta and Eduardo N. Marcos and Sibylle Schroll and Andrea Solotar},
journal= {arXiv preprint arXiv:1904.03565},
year = {2019}
}
Comments
17 pages - small changes made